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https://www.analyzemath.com/statistics/normal_distribution.html
The time taken to assemble a car in a certain plant is a random variable having a normal distribution of 20 hours and a standard deviation of 2 hours. What is the probability that a car can be assembled at this plant in a period of time a) less than 19.5 hours?
https://opentextbc.ca/introstatopenstax/chapter/using-the-normal-distribution/
The maximum number of hours per day that the bottom quartile of households uses a personal computer for entertainment is 1.66 hours. Try It The golf scores for a school team were normally distributed with a mean of 68 and a standard deviation of three.
https://probability.oer.math.uconn.edu/wp-content/uploads/sites/2187/2018/01/prob3160ch7.pdf
that the lifetime of a U-Phone is given by the random ariablev X(measured in hours), with probability density function f(x) = (10 x2 x>10; 0 x 10: (A)Find the probability that the u-phone will last more than 20 hours. (B)What is the cumulative distribution function of X? That is, nd F X(x) = P(X6x). (C)Use part (b) to help you nd P(X>35 ...
https://opentextbc.ca/introstatopenstax/chapter/the-uniform-distribution/
The total duration of baseball games in the major league in the 2011 season is uniformly distributed between 447 hours and 521 hours inclusive. Find a and b and describe what they represent. Write the distribution. Find the mean and the standard deviation.
https://vrcacademy.com/tutorials/weibull-distribution-examples/
Assume that the life of a packaged magnetic disk exposed to corrosive gases has a Weibull distribution with $\alpha = 300$ hours and $\beta = 0.5$. Calculate the probability that. a. a disk lasts at least 600 hours, b. a disk fails before 500 hours. Solution.
https://faculty.kfupm.edu.sa/math/mohfarah/Stat%20319/Chapter%204.htm
4.26 A Company produces light bulbs whose lifetimes follow a normal distribution with mean 500 hours and standard deviation 50 hours. (a) If a light bulb is chosen randomly from the company’s output, what is the probability that its lifetime will be between 417.75 and 582.25 hours?
https://opentextbc.ca/introstatopenstax/chapter/the-exponential-distribution/
Exponential distributions are commonly used in calculations of product reliability, or the length of time a product lasts. Let X = amount of time (in minutes) a postal clerk spends with his or her customer. The time is known to have an exponential distribution …
https://www.chegg.com/homework-help/questions-and-answers/-company-produces-lightbulbs-whose-life-follows-normal-distribution-mean-1200-hours-standa-q71792920
a. A company produces lightbulbs whose life follows a normal distribution, with mean 1200 hours and standard deviation 250 hours. If we choose a lightbulb at random, what is the probability that its lifetime will be between 900 and 1300 hours. b.
http://homepage.divms.uiowa.edu/~rdecook/stat2020/notes/ch4_pt3.pdf
Exponential Distribution One place the exponential distribution arises is in the modeling of time or distance between occurrence of events. Wait time between phone calls Distance between recombination events on a DNA strand It is also used to model the distribution of component lifetime, or lifetime of a …
http://pressbooks-dev.oer.hawaii.edu/introductorystatistics/chapter/the-central-limit-theorem-for-sample-means-averages/
The length of time, in hours, it takes an “over 40” group of people to play one soccer match is normally distributed with a mean of two hours and a standard deviation of 0.5 hours. A sample of size n = 50 is drawn randomly from the population. Find the probability that the sample mean is between 1.8 hours and 2.3 hours.
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